{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'/home/wang/.cache/matplotlib'"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 查看缓存文件在哪里\n",
    "import matplotlib as mpl \n",
    "mpl.get_cachedir()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'/home/wang/anaconda3/lib/python3.7/site-packages/matplotlib/mpl-data/matplotlibrc'"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 查看配置文件路径\n",
    "import matplotlib as mpl \n",
    "mpl.matplotlib_fname()\n",
    "#注意，中文字体问题请参考https://blog.csdn.net/DicserYan2518/article/details/84501315"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ccy2Bc4CFzrmulWzrgFeA58xsIPAIMDVYs0rd8YP+HWhSP4E3lm8nd0+ez/fLSlMFi1Qs5Cf/m9knZtazgh89BKwEngJm4DnFSsSv6ifGcfuQTJyD8R/WrEalfAXLkzPXBmhCiTQWjefbmZmLxj+XBMbxwhKG/Gk2e/JO8O6dgzizdUOf77v1QD4XPzGX40UlTL29P73bNQ7gpBJqZkZ1LzGGfKUqEmr1EmIZMywLgPEf1mzF2bZJMr++3FPB8hNVsAgKVREAvtO3La1Tk5jx5W5WbD1Uo/ted7YqWOQbClURIDEulnHnez5f8viMmq1WVcEi5SlURbyu7ZNOuybJzFm7l083HajRfVXBImUUqiJe8bEx3OVdrT42vebv5pevYPntW6pgqasUqiLlXNWrDRnN67Now34Wrq/50/iyCpbXl6mCpa5SqIqUExtj/Hh4JwAen762xpf4a5ScwCPXqoKlLlOoipzisu6t6NyiAZ9uPsictXtrfP9hndP4bt92qmCpoxSqIqeIiTHuvsC7Wp1R89UqwP2XdlEFSx2lUBWpwEVdW9CtTUM+33aYGV/urvH9T61g2XFIFSx1hUJVpAJmxr0XdAY8q9XSWlw3tXwFy89eVwVLXaFQFanE0M7N6dWuEWt25fHeytq9k39SBcvHm/08oYQjhapIJcyMn1zoWa2O/3Btra7ynxQfy/jrvRUs765RBUsdoFAVqUL/zKac27EJuXuO8taK2r3h1K1NKuNysjleVMI9ry1XBUuUU6iKVMHMuNe7Wn3iw3UUldTuYtR3DMukR3oqy7YcYvLc9f4cUcKMQlWkGn07NmFQdjM2789n2rJttXqMUytYVu9UBUu0UqiK+KBstfqXmbmcKK7dNVOz0hrws4vPoKjEcc9rqmCJVgpVER+c1bYRw7uksf3QcV77pNIOymr9sH8HzstQBUs0U6iK+KjsU1YTZ+dSUFS71WpMjPGna3uSkhjHMx+tZ9mWg/4cUcKAQlXER11bp3JJt5bsPnKCVxdvqfXjtG2SzK8u60Kpg3tfW0F+YbEfp5RQU6iK1MDdF3TCDJ75KPe0wrCsgmXjvmM88p4qWKKJQlWkBjq1aMAVPVuz72ghf19Y+09ImRl/vKY7jZPj+fuizapgiSIKVZEauuv8bGIMJs9dT95p1KakNUjid1d1B1TBEk0UqiI1lNE8hWt6p3Mov4gX5m86rce6tEcrrlAFS1RRqIrUwp3nZxMXYzw3bwOH8gtP67EeLFfB8oEqWCJejULVzJqbWXaghhGJFG2bJHP9OW3JO1HMX+dtOK3HOqmCZdoX7FMFS0Sr6Ur1N8DPAzGISKQZm5NFQlwMf1uw6bS7qMoqWPYfK+T+/3yha69GMJ9D1cyuAIYD08xslJl9v9ztZjO7NXBjioSfVqn1uKFvO/ILS5g05/QvkvLLS7vQrkkyH6zazX8+UwVLpPIpVM1sBPBb4AIgHugKdD/l1i1AM4qErTuGZZIUH8NLizaz50jBaT1W/cQ4/jyiJ2bwm7dUwRKprKqnGWbWCJgF7AKuc84dDdZgp8PMnJ4+SbD84d3VTJ67gR/078ADV3Q97cf7/bureXbuBgZmNeOlkX2JiTE/TCn+YGY456r8H1LdStUBrwFdgBu9D9rezHqbWSszi/PPqCKRa/SQTOonxPKPxVvY7ofV5T0XdKJTixTm5+7jlcWqYIk0VYaqc+6wc+6PQA9gmJn9AxgCPAz8C1hhZsvM7Pu+7MzMepnZNDObaWY3V7NtfzPLN7Nd3tubvv2RRIKrSf0ERg7sSGFJKRNn5Z724yXFx/L4dWUVLKvZqAqWiOLTa6rOuTzn3PXAEaC/c+4S59wQ51xX4DvAbWb2bFWPYWaNgSnAJOBnwMNm1ruKu/QCHnXOtfTervRlVpFQuGVgBg2S4pjy6Va27M8/7cfr1iaVO8/PpqColHtVwRJRqgxV71P8J82snfdb44DtZvb1awrOubV43sD6tJp9tQbud85Nd859CiwGqjrntQ+wrLo/gEg4SE2O59ZBGRSXOp6cuc4vj3nH0Ex6qoIl4lT3RlU6cDdwPbAZqOxkPAMSnHMDqt2hJ5AHA38H+jjn9ley3XKgPtAUWAOMdM75dDkfvVEloXD0RDGDHpnF4eNFzLhnCJnNU077MXP3HOXSv8yj1DneGjuQLq0a+mFSqa3TfqPKObfNOXcv0BH4G9AZ2A2MAX5Y7vYj4BYf5xoNvAtMqyJQDVgKfAtPqL4DPO3j44uEREpiHKOHZFLqPCWB/pCVlsJPvRUsd/97ea2rXCR4fH1Ntcg59xyeswDigM7Ouc3lbrnOudU+PtYkoB1wsZldUsk2zjk3yjm3zrvkfBIYYmbxFW1vZg+YmSu7+TKHSCB8v197mqUk8s7nO/hqV55fHrOsgmXNrjye9FNYS+DU6GOqzrkjzrkRQF8za1qT+5pZZzPr6X2c/cAMPB8aqGjbNDO7pty3WgOVXhHYOfeAc87KbjWZS8SfkhPiuGNoJs7B+Bn+6aAqX8Eyac56lm5WBUs48/UTVW+a2SozK3tNs7P3+0+Z2V/MbLSZNa/mYdKBqWbWzPuhgovwvFlVkRPARDPrYWZNgAeBt51zuuCkhL0bzm1Hy4ZJvL9qFyu3H/bLY7ZtksyvLzuTUgc/maIKlnDm60q1LdAfzylVAKV4Vo6DgU/wXBPg+aoewDk307vNF8By4Bnn3BzveauXnbLtYWAsntdevwJK8LwWKxL2kuJjGZuTBcDjflqtAow4O53zVcES9qp89//rjcyWOed6m9lC51x/M3sNz5tT851z3c2sNTDPOZcZ6IF9oXf/JdQKi0vJeewjth08zuu396dP+8Z+edw9eQVcNH4uB/OLeGXUuQzMbuaXxxXf+ONjqmXKPo5qZjYS6IfnI6xl8oH7az6iSHRKiIvhzvM9p2H767VVOKWCZeoKDh/XK2LhprqT/7PNbAeeq1KV6YDntKp+QCKAc+6Qc+5fgRpSJBJd3asNHZvVZ37uPj7eUOHZg7VSVsGy83ABv317ld8eV/yjupXqRuAaYIX3a+ec+7X3+/8HxJrZF2Z2fgBnFIlIcbEx/Hi4Z7X6+PS1fr3w9INXdqVFw0SmLduuCpYwU93J/8XOuUWV/PhK72uo44DnzOw6v08nEuEu69Ga7LQUlmw6wHw/1lA3Sk7gkWtUwRKOalv85/CcAYBz7iM87/4/amaJfppLJCrExhh3X9AJgD/7ebU6tHMaN5yrCpZwU5M6lSNADzM7CFyJ57J/083sl97HOcc5p1+XIqe4uGtLzmzVkBVbDzFrzR6/Pvb93/qmgmXaMlWwhANfP6ba2znX0DmX4pxr7JxLBHoC9+E5Uf9DPHUrInKKmBjjHu9q9fEZayn142X8ylewPKAKlrBQ26f/ZddYXeGc+xNwBvCM/8YSiS7nd0mjZ9tGrNpxxO9vLPXt2IRbB2WQd6KYn0793K+hLTVX61Atzzl33Dn3hT8eSyQamRn3eler4z9c6/eLTt+tCpaw4ZdQFZHqDcpuxjkdGrN291He+XyHXx9bFSzhQ6EqEiRmxr0XdgY811stLin16+OfWsHi78cX3yhURYLovIymDMhqysZ9x/jPZ/5/t/7kCpYNfn98qZ5CVSTI7rnAs1p9cuY6Cov9u5qMi43hsevOIjEuhic+XMuXO45UfyfxK4WqSJD1ad+YYZ2bs+3gcaYs3er3x89KS+Fn3gqWe15TBUuwKVRFQqBstTpxVi4FRf4PvR/070C/jKaqYAkBhapICHRPT+Wiri3YebiAfy7Z4vfHj4kx/jSihypYQkChKhIid1/QCTN4avZ6jhf6f7Wa3vibCpZ7X1uuCpYgUaiKhMgZLRtyafdW7Dt6gpcWbQrIPsoqWDbtz+ePqmAJCoWqSAj9eHgnYgwmzVnP0RP+X0maGX+4pjuNk+N5adFm5q/z3+UHpWIKVZEQykpL4apebTiYX8SLCzYGZB9pDZJ4+NuqYAkWhapIiN11fjZxMcazczcELPC+1b0VV56lCpZgUKiKhFj7pvUZcXY6RwqKeX5e4D4F9eAV3b6uYHl/pSpYAkWhKhIGxuZkkxAbwwsLNnHgWGFA9pGaHP91Bcv9/1EFS6AoVEXCQJtG9fhu37YcPVHM5LnrA7afoZ3T+J63guUX01TBEggKVZEwMWZYFolxMfx94Sb25BUEbD+/8FawTP9SFSyBoFAVCRNpDZO46bz2FBSV8sxHgVut1k+M47HrVMESKApVkTBy29BMkhNieXXxFnYeDlzYndPhmwqW+6auUAWLHylURcJIs5REftC/A4XFpTw1Ozeg+yqrYFmQu5+XP1YFi78oVEXCzK2DM2iQGMe/P9nK1gP5AdtP+QqWP7y3mg17jwZsX3WJQlUkzDRKTmDUoI4UlTgmzArsZfu6tUnlrrIKlikrVMHiBwpVkTA0cmBHUuvF8/qy7QEv8bt9aCY92zbiM1Ww+IVCVSQMNUyKZ/SQDEpKHU9+uDag+4qLjeGxET1VweInQQ1VM+tlZtPMbKaZ3VzNtg3N7G0z22tmL5tZfLDmFAkHN/frQNP6Cby5YgfrducFdF+qYPGfoIWqmTUGpgCTgJ8BD5tZ7yru8iiQD7QE1gLjAj6kSBipnxjH7UMzcQ7GB3i1CidXsDyhCpZaC+ZKtTVwv3NuunPuU2AxkF3F9tcCDzrnSoAJwDVBmFEkrNx4XntaNEzk3S92sWrH4YDuq3wFy+Q561m6+UBA9xetghaqzrlVzrl/m8cQoA/wYUXbmlk9IAVY7b3vIaB5sGYVCRf5hSV0atEAgOfnB+Z6q+WlN07m15eXVbCsUAVLLYTijarRwLvANOfc/kq2iQXynHPlz++Iq+wBzewBM3NlNz/OKhISe/IKePi/XzLgj7OYt24f8bFG73aNg7LvEX3SGd5FFSy1ZaG4So2ZNQXmAfc6596r4OcGHAEaOu+AZrbdOdfGx8d3uvqORKIdh47z7NwN/HPJFk4Ul5IYF8N3+7Zj9JAMWqXWC9oce/IKuGj8XA7mF/HyqL4MytYTRfDU0zjnrMptghU+ZtYZSHLOrfB+/SSw3Tn3aCXbl4XuEjPrCHzgnOvk474UqhJRth7I5+mP1jN16VaKShzJCbHceF57bhnUkbQGSSGZ6d0vdnLHq8to2TCJD+4eTGo9nYDjS6hW+pQ6ANKBSWbWDygGLsLzUkBlXgQmmtk9wM+BqQGfUCTINuw9ylOz1/PG8u2UlDoaJMYxenAHRg7sSJP6CSGd7VvdW3HVWa15Y/kOfvvWKh6//qyQzhMpgvr038x+DtwFnADGO+eeNLNpwAvOuXdO2daA+4DvAh8D9zjnfLpsj1aqEu6+2pXHU7NzeefzHZQ6SK0Xz6iBHbm5f4ewWhEezi/ioifmsutIAZNu7MPF3VqGeqSQCqun/8GkUJVwtXL7YSbOyuX9VZ6OqKb1E7hlUAY39WtPSmIwnzj6bs7avdz8whKa1k/gg7sH0ywlMdQjhYxCVSRMfLblIBNn5TJzzR4A0hokMnpIJt/t25bkhPAM0/Lu/88XvLp4Cxec2YJnb+qD54lk3aNQFQmxJRsPMGHWOuat2wdA69Qkbh+ayYiz25IUHxvi6Xx37EQxlzw5jy0H8vnziJ5c2yc91COFhEJVJASccyzI3c9fZq1jyUbPp5LaNUlmzLBMvt0rnYS4yLyO0aebDjBi8iJSEuJ4/+7BtGkUvFO8woVCVSSInHPM/moPE2bl8tmWQwBkNK/P2GFZXNGzNXGxkRmm5f3hvdVMnrOBAVlNeXnkucTE1K2XARSqIkFQWuqY/uVuJs5ex8rtnsvmndGyAWNzsrikWytioyh4ThSXcMWEBXy1O4/fXtGVm/t3CPVIQaVQFQmgklLHf7/YyVOzcvnKe2m+7m1SGZeTxfAuLaJ2Fbdy+2GuemoBcbHGu3cOIqN5SqhHChqFqkgAFJeU8sbyHTw9O5cN3qvy927XiHHnZzO0U/M68c74hJnreGzGWs5q24ipt/WLipc2fKFQFfGjwuJSXl+2jac/ymXrAc/nUM7LaMKdOdn0y2xaJ8K0THFJKddMWsSKrYe476LOjBmWFeqRgkKhKuIHBUUl/D+f+zoAABL0SURBVPuTrUyas56dhwsAGNypOeNysjinQ5MQTxc66/ce5VtPzqPUOd4cM5AzWzcM9UgBp1AVOQ35hcX8Y/EWJs/dwN68EwAM79KCsTlZnNW2UYinCw9/W7CR3779JWe0bMCbYweQGBc5597WhkJVpBbyCop4adFmnp+/kQPHCjGDS7q1ZMywLLq2Tg31eGGltNTxvecWs2jDfm4fmsnPLj4j1CMFlEJVpAYO5xfxt4Ub+duCTRw+XkSMwRU9WzNmWBbZ3qvvy//adjCfi5+YR35hMVNu60ef9tH7kohCVcQH+4+e4Pn5G3lp0WaOnigmLsa4uncbbh+aRcdm9UM9XkR47dOt/HTq57Rvmsx7dw2KiOsZ1IZCVaQKe44U8Nd5G3jl4y0cLyohITaGEWenc9uQTNo2SQ71eBHFOcePXlrKh6t3c9N57Xnoqm6hHikgFKoiFdhx6DiT56znn59spdBbWXLDue24dXBwK0uizd68E1z0xFwOHCuM2goWhapIOVv25/PMnFymLt32dWXJTee155ZBGTRvUHevEepP732xk9ujuIJFoSqC53zKp0+pLPnBgA78cEDoK0ui0Y//9RlvLN/B1b3aRF0Fi0JV6rSvduUx0VtZ4hw0So5n5IDwqyyJNidXsPTm4m6tQj2S3yhUpU5auf0wE2at44NVuwFoluKpLLnxvPCtLIk2c9fu5fsvLKFJ/QQ++PHgqHl5RaEqdcoyb2XJrFMqS27o2456CdH9SZ9w9Ms3vuCVj6OrgkWhKnXC4g37mTArl/m5nsqSNo3qcdvQTEb0SY+oypJok1/oqWDZvD96KlgUqhK1nHPMz93HhJm5LNnkqSxp3zSZMUOzuKpXm4itLIk20VbBolCVqFNWWfKXmbks3+qpLMlsXp+xOVlc3iM6KkuiTVkFS//MprwyKrIrWBSqEjU8lSW7mDArl1U7vqksGZeTzcXdWkZVZUm0KV/B8sDlZ/KDAR1DPVKtKVQl4lVUWdIjPZVxOdmcf0ZaRK966pJVOzwVLLExkV3BolCViFVUUsqbp1SW9GnfmHE5WQypI5Ul0WbirHX8eXpkV7AoVCXinCgu4fWl23lmzjeVJf0ymjLu/Cz6ZdStypJoU1xSyrWTFrE8gitYFKoSMSqqLBnirSw5uw5XlkSb9XuPculf5lFS6nhjzICIu+i3QlXCXn5hMa9+vIVn531TWXLBmS0YOyyLnqosiUplFSydWzTgrXGRVcGiUJWwVVFlybe6tWLMsKw6USBXl5WWOm58fjEL1+/ntiGZ/PySyKlgUahK2DmcX8QLCzbytwUbOVJQTIzBlWe14Y6hmaosqUO2HzrOxePncizCKljCLlTNbAzwIJAC/BUYV1n6mVl/4EPgiPdbi51zV/q4H4VqmNl/9ATPzd/Iy6dUltwxNIsOqiypk6Z8upX7IqyCJaxC1czOAV4CrgaOAfOBO5xz71Sy/RiguXPugVrsS6EaJvYcKeDZuRt4dfE3lSXXnZPO6MGqLKnrIrGCxZdQDeavhhPA9c651QBmthhoV8X2fYA3gjGY+N+OQ8eZNGc9/ypXWfLDAR0YPTiTlqlJoR5PwoCZ8Yeru7PsiYO8/PFmLjizBYM7RX4FS0heUzWzesAm4ALn3OeVbLMcqA80BdYAI51za3x8fK1UQ2TL/nye/iiX15eVqyzp155bBqqyRCp2UgXLjweTmhy+FxAPq6f/J+3U7CGgu3Puqkp+bsBzwB+BXOD/gOHOuZxKtn8A+E357ylUg2v93qM8NTuXN5fv8FSWJMXxw/6eypLGqiyRatz97+X857PtfLtXG8aHcQVLWIaqmfUD3gR6O+e2+Xif+njesEpyzhX5sL1WqkGyZtcRJs7K5b9f7Py6smTUgI58X5UlUgOHjxdx0fjwr2AJu1A1s5bAEmCsc+6tKrZLAwY55173fp0NrARSFKrhYeX2w/xl5jqmf/lNZcmPvJUl9VVZIrUQCRUsYRWqZpYALAQ+cM7dX822qXheR70I2AY8BcQ75671cV8K1QBZtuUgE2auY/ZXewFo0TCR0YMz+a4qS8QPyipYhndpwV+/H34VLOEWqlfieTd/L1Dq/fazQDfghVNPrTKza4AngUTgA+Au59x+H/elUPWzjzfsZ8KsdSzI9fwvaNOoHrcPzWTE2ekR9TFDCW/lK1j+dG0PRpzdNtQjnSSsQjWYFKr+UVFlSYemydwxLItv92pDfAReuk3C36ebDnDd5EXUD8MKFoWq1Ipzjllr9jBh1jeVJVlpKYwdlsVlPVpF5HUwJbL88b01TJqzPuwqWBSqUiOlpY4PVnkqS77c6fl0cJdWDRmXk8XFXVuGzV9siX4niku4cuIC1uwKrwoWhar4pKTU8c7nO3hqdi5rdx8FoGdZZUmXtLB7s0DqhvIVLP+9cxCZYVDBolCVKhWVlPLGZ9t5+qP1bPRWlpzdvjHjzs9mcHYzhamEXFkFS8+2jXg9DCpYFKpSoRPFJUxduo1nPlrPtoOeypL+mU0Zl5PNeRlNFKYSNspXsPzkwk6MzckO6TwKVTlJQVEJ/1qyhclzN3xdWTK0s6eyJFKuZyl1z4a9R/lWmFSwKFQFgGMninl18WaenbuRfUe/qSwZl5NFj3RVlkj4e3HBRh4IgwoWhWodd6SgiJcXbea5eRs4mF/kqSzp3oqxw7Lo0kqVJRI5wqWCRaFaRx3KL+SFBZt40VtZEhtjXNmzNXcMyyQrTZUlEpnKKliOFhYzZXS/kLTsKlTrmH1HT/D8/I28tHATxwpLiIsxrumdzh3DMmnfVJUlEvmmLt3GT6asoH3TZN69c1DQL96jUK0j9hwpYPLcDby6eDMFRaUkxMZw/TltGT0kg/TGqiyR6OGc49aXlzLjy93ceF47fndV96DuX6Ea5bYfOs6kj9bz7089lSVJ8THc0Lc9o4dk0KKhKkskOu07eoILx8/lwLFCXhrZN6gVLArVKHVqZUn9hFhu6teBWwZ1pFlK+F2DUsTf3l+5k9teCX4Fi0I1yuTuOcrTs3N5c4UqS0TKKliuOqs1T3ynV1D2qVCNEmt2HWHCrFze9VaWNE6OZ9RAT2VJwyRVlkjdVL6C5Znv9eaS7oGvYFGoRrgvth1mwqzylSWJ3Dq4I987V5UlIgDz1u3lpueX0Dg5nul3Dwl4BYtCNUIt3XyQCbPW8ZG3sqRlwyRGD8ngu33bkRSvq+yLlPerN1by8sebg1LBolCNIM45Pt5wgImzv6ksSW/sqSy5to8qS0Qqk19YzLeenMemIFSwKFQjgHOOeev2MWHWOj7ZdBCAjs3qc8fQTK5SZYmIT5ZuPsCISZ4Klvd+PChg52crVMOYc46Zq/cwYXYuK7yVJdlpKYzNyeLS7qosEampsgqWfhlNefWWwFSwKFTDUGWVJXfmZHGRKktEaq18BctvLj+THwaggkWhGkbKKksmzspl3R5VlogEwpc7jnDlU/OJMePdu/xfwaJQDQMVVZac06Ex43KyGaTKEhG/e2p2Ln/64KuAVLAoVEOoosqSAVlNGTtMlSUigVRcUsqIyYv4bIv/K1gUqiFQUFTCP5dsYfKcDew64qksGda5OWNzsunTvnFIZhKpa8oqWIpLPBUs3dr4p4JFoRpEFVWWXHhmC8blZNM9PXSdOiJ11d8XbuI3b63yawWLQjUIjhQU8dLCTTw/f+PXlSWXdm/FGFWWiIRUaanjphcWsyB3P6OHZPB/l3Q57cdUqAbQofxCXpi/kb8t3ETeSZUlWWSl+fcdRxGpnR2HjnORHytYFKoBsO/oCZ6bt5GXF3kqS+JjPZUltw9VZYlIOPJnBYtC1Y92Hylg8pwN/GOJt7IkLobrz27LbUMzadOonl/3JSL+U76C5XvntuPhb9e+gkWh6gfbDuYzec6GkypLvndue24drMoSkUhRvoLl7yP7MqSWFSxhF6pmNgZ4EEgB/gqMqyz9zKwh8CpwHvA+MNI5V+Tjfk47VDfvP8bTs9fz+rJtFJd6Kku+378DowaqskQkEr2/che3vbKUFg0Tmf7jIbWqYAmrUDWzc4CXgKuBY8B84A7n3DuVbD8JaAzcAPwCOOace9zHfdU6VCusLBnQkZEDOtAoWZUlIpHsnn8vZ9ppVLCEW6j2AHDOfe79egow2zn3dCXb7wOGOOdWmVkj4L/OuQE+7qvGobp65xEmzj65suSWQRnc1K+9KktEosTh40Vc/MRcdh6uXQVLWIXqSTs1qwdsAi4oC9kKfn4QSHbOlXq/t9Y518nHx/c5VNfvPcof31vDjHKVJaMHZ3DDue1UWSIShcpXsHxw92DSGvj+3ogvoRqqi3b+AlhUUaB6xQJ5ZYHqVWnCmdkDZubKbjUZpLC4lBlf7qZlwyQeuPxM5v9sGD8anKFAFYlSg7Kbc9N57TmYX8QHq3b7/fGDvlI1s37Am0Bv59y2SrYx4AjQsGzJaWbbnXNtfNxHjZ7+z/5qD/0zm6qyRKSOyC8s5pNNB2t8FkDYPf03s5bAEmCsc+6taradB9zrnFtiZh2BDwLx9F9ExFdh9fTfzBKAd4CXqwtUrxeBiWY2EJgATA3geCIifhHMd/+vBN4A9gJlr5U+C3QDXjj11CrvSwD3Ad8FPgbucc4d93FfWqmKiN+F3dP/YFGoikgghNXTfxGRukChKiLiRwpVERE/UqiKiPiRQlVExI8UqiIifqRQFRHxo6i9aojnswMiIsEVlSf/14b3AwNhn8Sa0/8iZVbN6V+BmlNP/0VE/EihKiLiRwrVb/w21AP4SHP6X6TMqjn9KyBz6jVVERE/0kpVRMSPFKoiIn6kUBUR8aM6FapmlmNmH/qwXUMze9vM9prZy2YWH4z5yu3f1zn7m1m+me3y3t4MxnzefY8xs/1mdsLMJloVn7YIg+NZk1lDeUx7mdk0M5tpZjdXs23IjmkN5wzZ8Sw3w3Azm13NNulmNs/M9pjZY6ezvzoTqmY2GPgHvn2K7FEgH2gJrAXGBXC0k9Rwzl7Ao865lt7blYGdzsPMzgHGAgOBbOAK4NIq7hLK41nTWUN1TBsDU4BJwM+Ah82sdxV3CckxrcWcITmeZcysPp7apupO8n8OT21TSyDVzK6u7T7rTKgCY/D8JfDFtcCDzrkSPKWD1wRsqv9Vkzn7AMsCOEtlTgDXO+dWO+e2AIuBdlVsH8rjWdNZQ3VMWwP3O+emO+c+xTNndhXbh+qY1nTOUB3PMr8HFla1gZmlAjnAQ865UjzH89pa79E5VydueH5TDQU+qma7ekABEFPue2vDbU7vtsuBdcAB71+cM0JwXOsBu4Ee4Xg8azJrOBxT7///IcAmoGm4HlNf5gz18QT6ASuATlX9ewK6lD9+QCrwSW33W2dWqs57tHwQC+Q5z2+sMkG78Iyvc3pfF1wKfAtoiqf+++kAjlaZXwCLnHOfV/LzkB7PU1Q5a5gc09HAu8A059z+SrYJh2Na7ZyhPJ5mlghMBkYBhdVsHgscLvf1MTzBWjvB/O0W6hu+rVQNyMP7wQjv97aH25wV3Kc+UALEB3HOfsAeID2cj6evs4bDMfXutynwJXBJmB/TKucM5fEEHgZ+5/3vDlX9ewLaAOvKfd0AWF3bfdeZlaqvnOeoLgfOATCzjnh+c4UVM0szs/Kvo7UGioO4/5bAv4FbnHPbKtsuHI6nr7OG8piaWWcz6wngPCu/GUD3irYN5TGtyZwh/jt6FXCrme0CPgH6m9mqSrbdAcSZWSvv12cDW2u7Y4VqxV4EJprZQDwvWk8N7TgVOoFnxh5m1gR4EHjbOVcU6B2bWQKep3IvO+fe8uEuLxKi41nDWUN2TIF0YKqZNTOzRsBFeN4EqsyLhOaY1mTOkB1P51xX51yac64lnl8+C51zXSvZ1gGvAM95j+cjnM7xDPZThlDeOOVpNTANuKyC7Qz4KfAZ8AxQL0znvAbYBuz1/qWo9A0DP893JeDwPJ3e5b09GI7HsxazhuSYevf9c2Annjd/7grXv6M1nDNkx7PcDB3K/j3hWbX2rGCbBDxhugLPSwcxtd2fLqgiIuJHevovIuJHClURET9SqIqI+JFCVUTEjxSqUieZ2TAzGxXqOST6KFSlrnoAyAj1EBJ9QvUZbJGQMbMrgP5AspkNwXOOYimeT/vE4/k45XeccytDN6VEKp2nKnWK91NAq4Axzrk3vN+bCKx0zk0K6XASFfT0X+oMM4vDcwHwRWWBKuJvWqlKneFdpf4EmA6MB457f5Th/e+9eF4KmOecuyskQ0rEU6hKneO9ytKTzrmh3q/19F/8Rk//pS7SSkICRitVqTPM7Ed4CvIc0ALI9f4oA0+J3i7v14nAUefcsKAPKRFPoSp1np7+iz/p6b+I59+B/i2IX+gvkojn6X5CqIeQ6KCn/yIifqSVqoiIHylURUT8SKEqIuJHClURET9SqIqI+JFCVUTEjxSqIiJ+pFAVEfEjhaqIiB/9P8CdFRI2WtFNAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt #导包\n",
    "fig = plt.figure(figsize=(4, 4), dpi=90) #指定表格的大小　宽高 dpi指的是每英寸的像素\n",
    "plt.plot([1,3,2,4],[2,3,5,2])\n",
    "plt.xlabel('年') #x轴标签\n",
    "plt.ylabel('房价') #y轴标签\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 320x320 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "X = np.linspace(-np.pi, np.pi,10,endpoint=True)  # 横轴为-pi到pi，其间分为10个点，把每个点的值用直线连起来，\n",
    "C = np.cos(X)                      # 所以，数字越大越平滑\n",
    "S = np.sin(X)\n",
    "fig = plt.figure(figsize=(4, 4), dpi=80)\n",
    "plt.plot(X, C)\n",
    "plt.plot(X, S)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 320x320 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#描点画图\n",
    "import matplotlib.pyplot as pt\n",
    "import numpy as np\n",
    "import math\n",
    "pointsA = np.array(([-5,10],[-5,5],[0,5],[0,7],[-3,7],[-3,10],[-5,10]))\n",
    "\n",
    "fg=pt.figure(figsize=(4,4),dpi=80)\n",
    "pt.xlim(-10.0, 10.0) #指定ｘ轴的范围\n",
    "pt.ylim(-10.0, 10.0) #指定ｙ轴的范围　\n",
    "pt.plot(pointsA[:,0],pointsA[:,1])\n",
    "pt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.5      ,  0.8660254],\n",
       "       [-0.8660254,  0.5      ]])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from math import *\n",
    "rotate =np.array([[cos(pi/3),sin(pi/3)],[-sin(pi/3),cos(pi/3)]])\n",
    "rotate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[6.16025404, 9.33012702],\n",
       "       [1.83012702, 6.83012702],\n",
       "       [4.33012702, 2.5       ],\n",
       "       [6.06217783, 3.5       ],\n",
       "       [4.56217783, 6.09807621],\n",
       "       [7.16025404, 7.59807621],\n",
       "       [6.16025404, 9.33012702]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "newpoint  = pointsA.dot(rotate.T)\n",
    "newpoint"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 旋转要根据选定的原点来定(不是原点要减去到原点的距离)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 320x320 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(4, 4), dpi=80)\n",
    "plt.xlim(-10.0, 10.0) #指定ｘ轴的范围\n",
    "plt.ylim(-10.0, 10.0) #指定ｙ轴的范围　\n",
    "plt.plot(newpoint[:,0],newpoint[:,1])\n",
    "plt.show()\n",
    "#旋转要根据选定的原点来定"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 通过取点时候的乘除和加减来改变图形的大小和位置"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 320x320 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as pt\n",
    "import numpy as np\n",
    "import math\n",
    "pointsA = np.array(([-5,10],[-5,5],[0,5],[0,7],[-3,7],[-3,10],[-5,10]))\n",
    "\n",
    "fg=pt.figure(figsize=(4,4),dpi=80)\n",
    "pt.xlim(-10.0, 10.0) #指定ｘ轴的范围\n",
    "pt.ylim(-10.0, 10.0) #指定ｙ轴的范围　\n",
    "pt.plot(pointsA[:,1]*0.8,(pointsA[:,0]-2)*1.5)\n",
    "pt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x400 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(5, 4), dpi=100)\n",
    "# 宽度2 样式 --\n",
    "plt.plot(X, C, color=\"red\", linewidth=2, linestyle=\"--\")\n",
    "# 宽度1 样式 -\n",
    "plt.plot(X, S, color=\"yellow\", linewidth=1, linestyle=\"-\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## \n",
    "http://webdemo.myscript.com/ \n",
    "这个网站转换latex很好用"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 400x320 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(5, 4), dpi=80)\n",
    "plt.plot(X, C, color=\"navy\", linewidth=2, linestyle=\"--\")\n",
    "plt.plot(X, S, color=\"deeppink\", linewidth=1, linestyle=\"-\")\n",
    "plt.xlim(-4.0, 4.0)\n",
    "plt.ylim(-2.0, 2.0)\n",
    "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n",
    "           [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
    "plt.yticks([-1, 0, +1], [r'$-1$', r'$0$', r'$+1$'])\n",
    "\n",
    "ax = plt.gca() #  获取当前坐标轴 'get current axis'\n",
    "ax.spines['right'].set_color('none')  # 隐藏右边框\n",
    "ax.spines['top'].set_color('none')  #  隐藏上边框\n",
    "ax.spines['bottom'].set_position(('data',0))  # 底边框与数据0对齐\n",
    "ax.spines['left'].set_position(('data',0))  # 左边框与数据0对齐\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 400x320 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(5, 4), dpi=80)\n",
    "\n",
    "\n",
    "plt.plot(X, C, color=\"navy\", linewidth=2, linestyle=\"--\", label=\"cos\")  # Add a label for cos\n",
    "plt.plot(X, S, color=\"deeppink\", linewidth=1, linestyle=\"-\", label=\"sin\")  # Add a label for sin\n",
    "plt.legend(loc='upper left')  # Add the legend\n",
    "\n",
    "\n",
    "plt.xlim(-4.0, 4.0)\n",
    "plt.ylim(-1.0, 1.0)\n",
    "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n",
    "           [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
    "plt.yticks([-1, 0, +1], [r'$-1$', r'$0$', r'$+1$'])\n",
    "\n",
    "ax = plt.gca()\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 对关键点的标注"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 450x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(5, 4), dpi=90) # \n",
    "plt.plot([2, 3, 1, 4])  \n",
    "plt.xlabel('横轴')\n",
    "plt.ylabel('纵轴')\n",
    "\n",
    "plt.annotate('转折点',\n",
    "             xy=(1, 3),  xytext=(-50,50),\n",
    "             textcoords='offset points', fontsize=12,\n",
    "             # ->代表带箭头的线，-代表实线，不写代表只有文字\n",
    "             # arc和rad 代表角度和弧度\n",
    "             arrowprops=dict(arrowstyle=\"-\" ,connectionstyle=\"arc3,rad=.2\"))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 400x320 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "X = np.linspace(-np.pi, np.pi, 60)\n",
    "C = np.cos(X)\n",
    "S = np.sin(X)\n",
    "fig = plt.figure(figsize=(5, 4), dpi=80)\n",
    "plt.subplot(3, 1, 1)   #表示3行1列   第一个格子\n",
    "plt.plot(X, C)\n",
    "plt.subplot(3, 1, 2)\n",
    "plt.plot(X, S)\n",
    "plt.subplot(3, 1, 3)\n",
    "plt.plot(X, S+1)\n",
    "plt.tight_layout(1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 400x320 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(5, 4), dpi=80)\n",
    "plt.subplot(1, 2, 1)    #表示1行两列   第一个格子\n",
    "plt.plot(X, C)\n",
    "plt.grid(False)\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.plot(X, S)\n",
    "plt.grid(True)\n",
    "plt.tight_layout(2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x400 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.gridspec as gridspec #导入格子布局的包\n",
    "fig = plt.figure(figsize=(10, 5), dpi=80)\n",
    "\n",
    "gs = gridspec.GridSpec(3, 3)  #建立一个3×3的格子\n",
    "\n",
    "ax1 = plt.subplot(gs[0, :])   #表示各自在哪个位置\n",
    "plt.plot(X, C)\n",
    "ax2 = plt.subplot(gs[1, :-1])\n",
    "plt.plot(X, S)\n",
    "ax3 = plt.subplot(gs[-1, 0])\n",
    "plt.plot(X, -C)\n",
    "ax4 = plt.subplot(gs[-1, -2])\n",
    "plt.plot(X, -S)\n",
    "ax5 = plt.subplot(gs[1:, -1])\n",
    "plt.plot(X, (C+S)/2)\n",
    "# 子图之间的距离\n",
    "plt.tight_layout(2)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "幻灯片",
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
